Fig. 1 · Ab to Ebb

interval

A♭ diminished fifth

A♭lowerE♭♭upperd56 half steps

A perfect fifth narrowed by a half step. The interval inside every diminished triad.

On the keyboard

E𝄫Ab
Fig. 2

What is true of it

A♭ up a diminished fifth is E♭♭: 6 half steps, and 5 letters counting both ends.

Turn it upside down — put the A♭ on top — and it becomes a augmented fourth. The two numbers always add to nine, and the two sizes to twelve.

It is a dissonance.

Six half steps can be written two ways: A♭ to D is a fourth, A♭ to E♭♭ is a fifth. They sound the same and behave differently.

Every interval on A♭

A♭ → B♭♭minor second · dissonanceA♭ → B♭major second · dissonanceA♭ → C♭minor third · imperfect consonanceA♭ → Cmajor third · imperfect consonanceA♭ → D♭perfect fourth · perfect consonanceA♭ → Daugmented fourth · dissonanceA♭ → E♭perfect fifth · perfect consonanceA♭ → F♭minor sixth · imperfect consonanceA♭ → Fmajor sixth · imperfect consonanceA♭ → G♭minor seventh · dissonanceA♭ → Gmajor seventh · dissonance

C d5C♯ d5D♭ d5D d5D♯ d5E♭ d5E d5F d5all 204